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Finding the Fourth Proportional to 546,754.52, 820,156.46 and 167,647.56

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Solution

The fourth proportional to 546,754.52, 820,156.46 and 167,647.56 is: 251,478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,754.52 : 820,156.46 = 167,647.56 : x
  2. Step 2: Convert to fraction form
    546,754.52/820,156.46 = 167,647.56/x
  3. Step 3: Cross multiply
    546,754.52x = 820,156.46 × 167,647.56
  4. Step 4: Simplify right side
    546,754.52x = 137,497,229,337.24
  5. Step 5: Solve for x
    x = 137,497,229,337.24/546,754.52
  6. Step 6: Final answer
    x = 251,478.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.